Question

Vipin bought an article for ₹400 which includes a discount of 8% on the marked price and rate of GST is 5% on the reduced price. Find the market price of the article

Answer 1

Given :-

→ Cost price of the article = Rs. 400

→ Discount = 8 %

→ GST = 5 %

To Find :-

→ The Marked Price of the article

Solution :-

→ Let the marked price be Rs. 100

→ Discount =

15 % of 100 = Rs. 15

→ GST =

100 - 15 = Rs. 85

5 % of Rs. 85

$\dfrac{5}{100} \times 85 \\\\\\\sf = Rs. \; 4.25$

∴ Price paid by Vipin for the article

 =  Rs.85 + Rs.4.25  =Rs. 89.25

→ When Dinesh paid = Rs. 89.25 ,  M.P.=Rs.100

$\sf When\;Vipin\;paid\;Rs.\;1 , MP = Rs. \; \dfrac{100}{89.25} \\\\\\\\When\;Vipin\;Paid\;Rs.400\;= Rs. \dfrac{100}{89.25} \times 400 \\\\\\= Rs.\;414.078$

∴ Marked price = Rs. 414.078

___________

All done !! :D